Search a number
-
+
197779680 = 25325722803
BaseRepresentation
bin10111100100111…
…10000011100000
3111210011020201100
423302132003200
5401112422210
631343034400
74621046100
oct1362360340
9453136640
10197779680
11a170688a
125629ba00
1331c8a7c7
141c3a5200
151256b5c0
hexbc9e0e0

197779680 has 216 divisors, whose sum is σ = 785394792. Its totient is φ = 45190656.

The previous prime is 197779679. The next prime is 197779693. The reversal of 197779680 is 86977791.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69159 + ... + 71961.

It is an arithmetic number, because the mean of its divisors is an integer number (3636087).

Almost surely, 2197779680 is an apocalyptic number.

197779680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392697396).

197779680 is an abundant number, since it is smaller than the sum of its proper divisors (587615112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

197779680 is a wasteful number, since it uses less digits than its factorization.

197779680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The square root of 197779680 is about 14063.4163701428. The cubic root of 197779680 is about 582.6314045923.

The spelling of 197779680 in words is "one hundred ninety-seven million, seven hundred seventy-nine thousand, six hundred eighty".